Low Reynolds number flows constitute a research area focused on fluid motions where viscous forces dominate over inertial forces, typically characterized by Reynolds numbers much less than one. This regime is described by the linear Stokes or creeping-flow equations, enabling analytical and asymptotic methods for studying hydrodynamic interactions, lubrication phenomena, and particle suspensions. Research addresses microscale and nanoscale transport, including biological locomotion, microfluidics, colloidal dynamics, and complex fluids under strong viscous control. Key topics include resistance and mobility tensors, boundary integral formulations, slender-body theory, and the breakdown of reversibility in the presence of non-Newtonian rheology or time-dependent forcing.
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